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Svetllana [295]
3 years ago
7

Can you help me solve this?​

Mathematics
2 answers:
Natalka [10]3 years ago
6 0

Answer:

first one is rational, second is also rational, third is rational, fourth is rational, and fifth is irrational.

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers. The reason why \sqrt{12} is an irrational number is bc it's not a perfect square while\sqrt{49} equals to 7 and is a perfect square.

Dahasolnce [82]3 years ago
5 0

Answer:

  1. rational
  2. irrational
  3. rational
  4. rational
  5. irrational

Step-by-step explanation:

<u>Numbers given</u>

6.(32)

  • This is repeat non-terminating number which can be expressed as a fraction, so it is rational

3.121121112...

  • this is non-repeat non-terminating number which can't be expressed as a fraction so it is irrational

√49 = 7

  • This is rational

-27/4

  • This is rational

√12 = 2√3

  • This is not a perfect square and is irrational
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Answer: (0.076, 0.140)

Step-by-step explanation:

Confidence interval for population proportion (p) is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

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sample size : n= 500

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Sample proportion of Independents\hat{p}=\dfrac{x}{n}=\dfrac{54}{500}=0.108

Significance level 98% confidence level : \alpha=1-0.98=0.02

By using z-table , Critical value : z_{\alpha/2}=z_{0.01}=2.33

The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

0.108\pm (2.33)\sqrt{\dfrac{0.108(1-0.108)}{500}}\\\\=0.108\pm2.33\times0.013880634\\\\=0.108\pm0.03234187722\\\\\approx0.108\pm0.032=(0.108-0.032,\ 0.108+0.032)=(0.076,\ 0.140)

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